mtl-2.2.1: Monad classes, using functional dependencies

Copyright(c) Andy Gill 2001, (c) Oregon Graduate Institute of Science and Technology, 2001
LicenseBSD-style (see the file LICENSE)
Maintainerlibraries@haskell.org
Stabilityexperimental
Portabilitynon-portable (multi-param classes, functional dependencies)
Safe HaskellSafe
LanguageHaskell98

Control.Monad.Writer.Lazy

Contents

Description

Lazy writer monads.

Inspired by the paper Functional Programming with Overloading and Higher-Order Polymorphism, Mark P Jones (http://web.cecs.pdx.edu/~mpj/pubs/springschool.html) Advanced School of Functional Programming, 1995.

Synopsis

MonadWriter class

class (Monoid w, Monad m) => MonadWriter w m | m -> w where

Minimal complete definition

(writer | tell), listen, pass

Methods

writer :: (a, w) -> m a

writer (a,w) embeds a simple writer action.

tell :: w -> m ()

tell w is an action that produces the output w.

listen :: m a -> m (a, w)

listen m is an action that executes the action m and adds its output to the value of the computation.

pass :: m (a, w -> w) -> m a

pass m is an action that executes the action m, which returns a value and a function, and returns the value, applying the function to the output.

Instances

MonadWriter w m => MonadWriter w (MaybeT m) 
MonadWriter w m => MonadWriter w (IdentityT m) 
MonadWriter w m => MonadWriter w (StateT s m) 
MonadWriter w m => MonadWriter w (StateT s m) 
MonadWriter w m => MonadWriter w (ReaderT r m) 
MonadWriter w m => MonadWriter w (ExceptT e m) 
(Error e, MonadWriter w m) => MonadWriter w (ErrorT e m) 
(Monoid w, Monad m) => MonadWriter w (WriterT w m) 
(Monoid w, Monad m) => MonadWriter w (WriterT w m) 
(Monoid w, Monad m) => MonadWriter w (RWST r w s m) 
(Monoid w, Monad m) => MonadWriter w (RWST r w s m) 

listens :: MonadWriter w m => (w -> b) -> m a -> m (a, b)

listens f m is an action that executes the action m and adds the result of applying f to the output to the value of the computation.

censor :: MonadWriter w m => (w -> w) -> m a -> m a

censor f m is an action that executes the action m and applies the function f to its output, leaving the return value unchanged.

The Writer monad

type Writer w = WriterT w Identity

A writer monad parameterized by the type w of output to accumulate.

The return function produces the output mempty, while >>= combines the outputs of the subcomputations using mappend.

runWriter :: Writer w a -> (a, w)

Unwrap a writer computation as a (result, output) pair. (The inverse of writer.)

execWriter :: Writer w a -> w

Extract the output from a writer computation.

mapWriter :: ((a, w) -> (b, w')) -> Writer w a -> Writer w' b

Map both the return value and output of a computation using the given function.

The WriterT monad transformer

newtype WriterT w m a :: * -> (* -> *) -> * -> *

A writer monad parameterized by:

  • w - the output to accumulate.
  • m - The inner monad.

The return function produces the output mempty, while >>= combines the outputs of the subcomputations using mappend.

Constructors

WriterT 

Fields

runWriterT :: m (a, w)
 

Instances

(Monoid w, Monad m) => MonadWriter w (WriterT w m) 
(Monoid w, MonadState s m) => MonadState s (WriterT w m) 
(Monoid w, MonadReader r m) => MonadReader r (WriterT w m) 
(Monoid w, MonadError e m) => MonadError e (WriterT w m) 
Monoid w => MonadTrans (WriterT w) 
(Monoid w, Monad m) => Monad (WriterT w m) 
Functor m => Functor (WriterT w m) 
(Monoid w, MonadFix m) => MonadFix (WriterT w m) 
(Monoid w, Applicative m) => Applicative (WriterT w m) 
Foldable f => Foldable (WriterT w f) 
Traversable f => Traversable (WriterT w f) 
(Monoid w, Alternative m) => Alternative (WriterT w m) 
(Monoid w, MonadPlus m) => MonadPlus (WriterT w m) 
(Eq w, Eq1 m) => Eq1 (WriterT w m) 
(Ord w, Ord1 m) => Ord1 (WriterT w m) 
(Read w, Read1 m) => Read1 (WriterT w m) 
(Show w, Show1 m) => Show1 (WriterT w m) 
(Monoid w, MonadIO m) => MonadIO (WriterT w m) 
(Monoid w, MonadCont m) => MonadCont (WriterT w m) 
(Eq w, Eq1 m, Eq a) => Eq (WriterT w m a) 
(Ord w, Ord1 m, Ord a) => Ord (WriterT w m a) 
(Read w, Read1 m, Read a) => Read (WriterT w m a) 
(Show w, Show1 m, Show a) => Show (WriterT w m a) 

runWriterT :: WriterT w m a -> m (a, w)

execWriterT :: Monad m => WriterT w m a -> m w

Extract the output from a writer computation.

mapWriterT :: (m (a, w) -> n (b, w')) -> WriterT w m a -> WriterT w' n b

Map both the return value and output of a computation using the given function.